A fractional calculus fluid model can be used to better explain the bursty data service traffic, which is long-range dependence and has a fractal like the feature of network data flow. The heavy-tailed delay distributions, the hyperbolic decay of the packet delay auto-covariance function and fractional differential equations are shown to be formally related. Effective capacity is a useful model to describe wireless networks with QoS constraints. This paper builds a fluid model to describe the traffic of multi-hop wireless networks under QoS constraints. The proposed method could analyze the relationship between latency and a complicated traffic model, which is more similar to the real scenario.

分数阶微积分流体模型可以更好地解释突发数据业务流量，它是长距离依赖的，具有类似网络数据流的分形特征。重尾延迟分布、数据包延迟自协方差函数的双曲线衰减和分数阶微分方程显示为形式相关。有效容量是描述具有 QoS 约束的无线网络的有用模型。本文建立了一个流体模型来描述QoS约束下多跳无线网络的流量。所提出的方法可以分析延迟与复杂流量模型之间的关系，更接近真实场景。